A RECURSIVE DECOUPLING METHOD FOR SOLVING TRIDIAGONAL LINEAR-SYSTEMS

被引:17
作者
EVANS, DJ
机构
[1] Department of Computer Studies, Loughborough University of Technology, Loughborough, Leicestershire
关键词
2x2; submatrix; rank one update; recursive decoupling; Tridiagonal linear system;
D O I
10.1080/00207169008803839
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In many numerical methods it is necessary to solve repeatedly tridiagonal linear systems of a certain form, i.e. diagonally dominant. By the use of repeated partitioning of the matrix into (2 x 2) subsystems it is shown that the linear system can be recursively decoupled into an explicit form suitable for solving on parallel or vector computers. © 1990, Taylor & Francis Group, LLC
引用
收藏
页码:95 / 102
页数:8
相关论文
共 4 条
[1]   THE SOLUTION OF 2-POINT BOUNDARY-VALUE PROBLEMS BY THE ALTERNATING GROUP EXPLICIT (AGE) METHOD [J].
EVANS, DJ ;
YOUSIF, WS .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1988, 9 (03) :474-484
[2]  
EVANS DJ, 1983, PARALLEL PROCESSING
[3]  
EVANS DJ, 1963, COMPUT J, V5, P327
[4]  
SHERMAN J, 1949, ANN MATH STAT, V20, P621